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1. You are at a point A on the shore of a circular lake with radius R. You want to get to the point B

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1. You are at a point A on the shore of a circular lake with radius R. You want to get to the point B which is diametrically opposite from A. There is a boat at A. You could row in a straight line from A to B. You could also run around the lake all the way from A to E. Dr you could row the boat from A to some point (I on the coast somewhere in between A and B. abandon the boat, and then run to 5. Assume that you can run with velocity 1:1 and that you can row with velocity n3. Assume to c: m (otherwise... the problem is very easy. can you see why?) Where should the point C he located in order to get from A to B as fast as possible? Your answer will? of course? depend on the values of 1:1 and n2. '3 Hint: Depending on what approach you take? half-angle formulas might come in handy? so you should look them up

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